Allied & ICAR Exam Bank • ALLIED_2529 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into cylindrical bottles of diameter 3 cm and height 4 cm. How many such bottles are required?

Answer Key:

54

Step-by-Step Solution & Explanation

Bowl volume $= (2/3)\pi R^3 = (2/3)\pi (729) = 486\pi$. Bottle volume $= \pi r^2 h = \pi (1.5)^2 (4) = 9\pi$. Number of bottles $= 486\pi / (9\pi) = 54$.
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